2-1: Brenda F. and Sabrina O.
2-2: Ryan B. and Patrick E.
2-3: Bethany H. and Austin Z.
2-4: Tabitha L. and Lauren W.
2-5: Chelsey R. and Sarah S.
2-6: Zack B. and Ashley C.
2-7/8: Susie W. (Bonus) and Jon Z. (Bonus)
2-9: Sabrina O. (Bonus) and Chelsey R. (Bonus)
Student Summaries:
Section 1 in Chapter 2 is about different types of numbers. Integers are all whole numbers and their opposites (the same distance but in the opposite direction from zero). Rational numbers are a ratio of 2 integers, and irrational numbers are all non-terminating and non-repeating decimals. Real numbers are a sets of irrational and rational numbers. Section 1 also shows how to graph these different numbers on a number line.
Student Summaries: In this section 2-2 we learn about the order of operations there is a saying you can use to help you find out the problem. The saying going please excuse my dear aunt sally, the p means parenthesis, the e means exponents, the m means multiply, the d means division, the a means addition, and the s mean subtraction. - Patrick E. In
this lesson
we learned how to do
the order of opperations by using ''pemdas'' witch means parrenthasas, exponents, multiplication, division, adding, and subtractiong. this
is the order
you solve problems. and adding multiplying divding and subtracting you do frome left
to right whitcever one comes first. that is what we learned in this lesson. - Ryan B.
View the lesson online hereLesson on iTunes Student Summaries:
In lesson 2-3, you use variables in place of real number values. There are word phrases that you write out as expressions. For instance, four more than a number is written as x+4. Or, 5/z is written as; the quotient of 5 and a number.
View the lesson online hereLesson on iTunes Student Summaries:
In lesson 2-4, once again, you use variables in place of another number. Here, you simply add or subtract. First you simplify, then evaluate. For example, say the problem is 4n+8-n when n=2 So first, you would simplify 4n-n, which equals 3n. Then, you would evaluate the rest of the problem. 3(2)+8=14 ~Tabby L
Student Summaries:
In lesson 2.5, you had to use the Opposite of a sum property and the distributive property. It is much easier if you change the division problem into a multiplication problem so you can distribute. You can also evaluate multiplication and division problems. You would do it the same way you would in addition and subtraction. All you have to do is plug in the numbers and then solve to get the answer.
Student Summaries:
In lesson 2-6 you add, subtract, multiply, and divide to simplify variable expressions. Also, you use the order of operations to simplify the problems you are given. The order of operations allows us to solve problems consistently to achieve the same answers. For example: 5(x+3) +2x, first you would distribute the 5 and get 5x + 15 + 2x then you would simplify by adding the 5x and 2x since they have the same variable to get your answer of 7x + 15 - Ashley C.
In lesson 2-6 you will reviewing your order of operations skills by smipifying variable expressions. Remember GEMDAS grouping symbols exponents mutipication and division addition and subtraction. - Zack B.
2-7/2-8: Properties of Exponents and Zero and Negative Exponents
Student Summaries:
This lesson was about exponets. Multiplyin and dividing them to be more spicific. You multiply them by adding the exponent and divide the fraction by subtracting them. If on exponet is beside it's base in parentashes and the other is outside you multply right there.
-Susie W.
Student Summaries: Chapter 2 lesson 9 is all about patterns. You learn that some problems can only be solved if you extend the pattern. Other problems can be easily solved by just viewing the pattern. A few problem solving strategies include guess and check, look for a pattern* ( which is key in this lesson), use a picture or diagram, act it out, make a table chart or list*, work backwards, eliminate possibilities, and use an equation or formula. You also learn the meanings of term and sequence which are shown in the above podcast. Example from 2-9: 95, 91 ,87, 83... find the next three numbers (pg95) A good way to approach this problem would be to work backwards, or look for a pattern.
(Ask Yourself how do I get from 95 to 91 to 87 or reverse 83 to 87 to 91)
To solve this problem you would find that the pattern decreases by 4 from left to right. The answers would then be 79, 75, 71
~Chelsey R. and Sabrina O.
Table of Contents
Chapter 2: Foundations of Algebra
Preview: Chapter 2 Preview 1011.pdfWiki Summary Assignments
2-1: Brenda F. and Sabrina O.2-2: Ryan B. and Patrick E.
2-3: Bethany H. and Austin Z.
2-4: Tabitha L. and Lauren W.
2-5: Chelsey R. and Sarah S.
2-6: Zack B. and Ashley C.
2-7/8: Susie W. (Bonus) and Jon Z. (Bonus)
2-9: Sabrina O. (Bonus) and Chelsey R. (Bonus)
2-1: Real Numbers
Notes: Section 2-1 Student 1011.pdfView the lesson online here
Lesson on iTunes
Student Summaries:
Section 1 in Chapter 2 is about different types of numbers. Integers are all whole numbers and their opposites (the same distance but in the opposite direction from zero). Rational numbers are a ratio of 2 integers, and irrational numbers are all non-terminating and non-repeating decimals. Real numbers are a sets of irrational and rational numbers. Section 1 also shows how to graph these different numbers on a number line.
2-2: Order of Operations
Notes: Section 2-2 Student 1011.pdfView the lesson online here
Lesson on iTunes
Student Summaries:
In this section 2-2 we learn about the order of operations there is a saying you can use to help you find out the problem. The saying going please excuse my dear aunt sally, the p means parenthesis, the e means exponents, the m means multiply, the d means division, the a means addition, and the s mean subtraction. - Patrick E.
In
this
lesson
we
learned how to do
the order of
opperations by using ''pemdas'' witch means parrenthasas, exponents, multiplication, division, adding, and subtractiong. this
is
the order
you
solve problems. and adding multiplying divding and subtracting you do frome left
to
right whitcever one comes first. that is what we learned in this lesson. - Ryan B.
2-3: Write Variable Expressions
Notes: Section 2-3 Student 1011.pdfStudent Summaries:
In lesson 2-3, you use variables in place of real number values. There are word phrases that you write out as expressions. For instance, four more than a number is written as x+4. Or, 5/z is written as; the quotient of 5 and a number.
2-4: Add and Subtract Variable Expressions
Notes: Section 2-4 Student 1011.pdfStudent Summaries:
In lesson 2-4, once again, you use variables in place of another number. Here, you simply add or subtract. First you simplify, then evaluate. For example, say the problem is 4n+8-n when n=2 So first, you would simplify 4n-n, which equals 3n. Then, you would evaluate the rest of the problem. 3(2)+8=14 ~Tabby L
2-5: Multiply and Divide Variable Expressions
Notes: Section 2-5 Student 1011.pdfView the lesson online here
Lesson on iTunes
Student Summaries:
In lesson 2.5, you had to use the Opposite of a sum property and the distributive property. It is much easier if you change the division problem into a multiplication problem so you can distribute. You can also evaluate multiplication and division problems. You would do it the same way you would in addition and subtraction. All you have to do is plug in the numbers and then solve to get the answer.
2-6: Simplify Variable Expressions
Notes: Section 2-6 Student 1011.pdfView the lesson online here
Lesson on iTunes
Student Summaries:
In lesson 2-6 you add, subtract, multiply, and divide to simplify variable expressions. Also, you use the order of operations to simplify the problems you are given. The order of operations allows us to solve problems consistently to achieve the same answers. For example: 5(x+3) +2x, first you would distribute the 5 and get 5x + 15 + 2x then you would simplify by adding the 5x and 2x since they have the same variable to get your answer of 7x + 15 - Ashley C.
In lesson 2-6 you will reviewing your order of operations skills by smipifying variable expressions. Remember GEMDAS grouping symbols exponents mutipication and division addition and subtraction. - Zack B.
2-7/2-8: Properties of Exponents and Zero and Negative Exponents
Notes: Section 2-7 2-8 Student 1011.pdfView the lesson online here
Lesson on iTunes
Student Summaries:
This lesson was about exponets. Multiplyin and dividing them to be more spicific. You multiply them by adding the exponent and divide the fraction by subtracting them. If on exponet is beside it's base in parentashes and the other is outside you multply right there.
-Susie W.
2-9: Problem Solving Skills: Find a Pattern
Notes: Section 2-9 Student 1011.pdfView the lesson online here
Lesson on iTunes
Student Summaries:
Chapter 2 lesson 9 is all about patterns. You learn that some problems can only be solved if you extend the pattern. Other problems can be easily solved by just viewing the pattern. A few problem solving strategies include guess and check, look for a pattern* ( which is key in this lesson), use a picture or diagram, act it out, make a table chart or list*, work backwards, eliminate possibilities, and use an equation or formula. You also learn the meanings of term and sequence which are shown in the above podcast.
Example from 2-9:
95, 91 ,87, 83... find the next three numbers (pg95)
A good way to approach this problem would be to work backwards, or look for a pattern.
(Ask Yourself how do I get from 95 to 91 to 87 or reverse 83 to 87 to 91)
To solve this problem you would find that the pattern decreases by 4 from left to right. The answers would then be 79, 75, 71
~Chelsey R. and Sabrina O.
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